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JEE Main20254 Apr 2025Morning ShiftChemistryThermodynamics (C)Actual

One mole of an ideal gas expands isothermally and reversibly from 10 dm ^3 to 20 dm ^3 at 300 ~K . U , q and work done in the process respectively are : Given : R =8.3 JK ⁻¹ and mol ⁻¹ aligned & In 10=2.3 & 2=0.30 & 3=0.48 aligned

Options

  1. A0,21.84 ~kJ ,-1.26 ~kJ
  2. B0,-17.18 ~kJ , 1.718 ~J
  3. C0,21.84 ~kJ , 21,84 ~kJ
  4. D0,178 ~kJ ,-1.718 ~kJ

Correct answer

D. 0,178 ~kJ ,-1.718 ~kJ

Step-by-step solution

aligned & (10 ~L , 300 ~K ) n =1 (20 ~L , 300 ~K ) & - q = w =- nRT V ₂ ~V ₁ & =-8.3 300 ( 20 10 ) & =-1.718 ~kJ & q =1.718 ~kJ & w =-1.718 ~kJ & U =0( ~T =0) aligned

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